Tuesday, January 21, 2014
316 Stanley Thomas Hall
Tulane University (Uptown)
Refreshments will be served
Randy LeVeque, University of Washington
Numerical Methods for Tsunami and Storm Surge Modeling
Many geophysical flows over topography can be modeled by two-dimensional depth-averaged fluid dynamics equations. The shallow water equations are the simplest example of this type, and are often sufficiently accurate for simulating large-scale waves such as tsunamis and storm surge. These hyperbolic partial differential equations can be modeled using high-resolution finite volume methods. However, several features of these flows lead to new algorithmic challenges, e.g. the need for well-balanced methods to capture small perturbations to the ocean at rest, the desire to model inundation and flooding, and that vastly differing spatial scales that must often be modeled, making adaptive mesh refinement essential. I will discuss some of the algorithms implemented in the open source software GeoClaw that is aimed at solving real-world geophysical flow problems over topography.
Center for Computational Science, Stanley Thomas Hall 402, New Orleans, LA 70118 firstname.lastname@example.org